Functions of diffraction correction and analytical solutions in nonlinear acoustic measurement

TL;DR

This paper introduces a simplified analytical correction method for diffraction effects in nonlinear acoustic measurements, enabling accurate estimation of the nonlinearity parameter B/A with less computational effort.

Contribution

It provides a more compact analytical formulation for diffraction correction in nonlinear acoustics, improving simplicity and precision over existing numerical methods.

Findings

The new formulation accurately corrects diffraction in the nearfield.

It allows for simpler solutions for the second harmonic of acoustic pressure.

The method effectively measures the nonlinearity parameter B/A.

Abstract

This paper presents an analytical formulation for correcting the diffraction associated to the second harmonic of an acoustic wave, more compact than that usually used. This new formulation, resulting from an approximation of the correction applied to fundamental, makes it possible to obtain simple solutions for the second harmonic of the average acoustic pressure, but sufficiently precise for measuring the parameter of nonlinearity B/A in a finite amplitude method. Comparison with other expressions requiring numerical integration, show the solutions are precise in the nearfield.